 42 lessons
 0 quizzes
 10 week duration

Measurements
An introduction to numerical computation. Emphasis is placed on scientific and engineering notation, the rule of significant figures, and converting between SI and Imperial units.

Fractions, Percentage, Ratios and Proportion
Emphasis here is placed on understanding fractions, percent, and using ratios to compare quantities and set up proportions to solve problems.

Introduction to Algebra

Factoring

Solving Equations

Functions and Graphs

Geometry
This unit focuses on analyzing and understand the characteristics of various shapes, both 2D and 3D.
 Identify, measure, and calculate different types of straight lines and angles
 Calculate the interior angles of polygons
 Solve problems involving a variety of different types of triangles
 Calculate the area of a variety of different types of quadrilaterals
 Solve problems involving circles
 Calculate the areas and volumes of different solids
Factor a Perfect Square Trinomial
In this unit’s final lesson, we’ll learn how to quickly factor general form quadratics that are considered “perfect square trinomials” (PST). In a PST, the first and last term of these trinomials are always perfect squares. If you don’t recognize the pattern of a PST, you could still factor the quadratic normally by trialanderror or by decomposition. Therefore, remembering this technique isn’t technically required but if you do recognize the pattern, consider it a shortcut.
Examples of a perfect square trinomials are:
 y = x² + 6x + 9
 Here, √x² = x and √9 = 3
 This factors into (x + 3)²
 y = 4x² +28x + 49
 Here, √4x² = 2x and √49 = 7
 This factors into (2x + 7)²
Two more examples of factoring perfect square trinomials are shown in the video below.
Takehome message:
You can factor a perfect square trinomial as:
 a² + 2ab + b² = (a + b)²
 a² – 2ab + b² = (a – b)²